Azuma's inequality is a result in probability theory that provides a concentration bound for submartingales (or sometimes martingales) given specific conditions. More specifically, it can be used to show how tightly concentrated the values of a martingale are around its expected value.
A backdoor cold front is a meteorological term that describes a type of cold front that moves into an area from the east or northeast, rather than the typical west or northwest direction. This phenomenon is often associated with coastal regions, especially in the northeastern United States. The term "backdoor" implies that the cold air is intruding into a region from an unexpected direction. This can lead to a sudden drop in temperatures, especially in areas that were experiencing warmer conditions prior to the front's arrival.
The term "principal value" can refer to different concepts depending on the context: 1. **Mathematics (Complex Analysis)**: In complex analysis, the principal value typically refers to a specific value of a function that can have multiple values, particularly for multi-valued functions like logarithms and roots.
The Principle of Charity is a philosophical approach that suggests one should interpret a speaker's statements or arguments in their strongest, most coherent form, rather than attributing to them the weakest interpretations or errors. In essence, it encourages a fair and sympathetic reading of others' positions, especially in debates or discussions. This principle serves several purposes: 1. **Promotes Understanding**: By interpreting arguments charitably, one can better understand the underlying reasoning and intent of the speaker.
Baltic amber is a type of fossilized tree resin that is primarily found in the Baltic Sea region, particularly in countries like Lithuania, Poland, and Russia. It is believed to have originated from the ancient coniferous trees of the Tertiary period, around 30 to 90 million years ago.
Daryl Haggard does not appear to be a widely recognized figure or term as of my last knowledge update in October 2023. It's possible that the name could refer to a specific individual who may not be prominent in public knowledge, or it could be a typographical error or confusion with another name, like "Merle Haggard," the well-known American country music singer and songwriter.
A datagram is a basic, self-contained, independent packet of data that is transmitted over a network in a connectionless manner. In networking, datagrams are commonly associated with the User Datagram Protocol (UDP), which is a core protocol of the Internet Protocol Suite. Here are some key characteristics of datagrams: 1. **Connectionless**: Datagrams do not require a dedicated end-to-end connection between the sender and receiver.
Debarca Municipality is a local government unit located in North Macedonia. It is situated in the Ohrid region and is known for its picturesque landscapes, cultural heritage, and historical significance. The municipality encompasses several villages and is home to a diverse population. Its surroundings are characterized by natural beauty, including proximity to Lake Ohrid, which is recognized as a UNESCO World Heritage site. Debarca is also noted for its agricultural activities and traditional practices.
The "debate" between birds and fish often refers to discussions about the characteristics, adaptations, and evolutionary advantages of these two distinct groups of animals. It's not a formal debate, but rather a metaphorical or conceptual comparison. Here are some key points that might typically come up in such discussions: 1. **Habitat Adaptations**: Birds are adapted for life in the air and on land, while fish are specifically adapted for aquatic environments.
Deborah Donnell may refer to various individuals or contexts depending on the specific field. Without additional context, it's challenging to provide a precise answer. If you are inquiring about a specific person, such as an author, academic, or public figure, please provide more details. It’s also possible that you meant a name similar to this.
The Defense of Democracies is a non-profit organization based in the United States that focuses on promoting democracy and combating authoritarianism worldwide. It is often associated with various initiatives aimed at educating the public and policymakers about the threats to democratic institutions and values, particularly in the context of international relations, security, and policy. The organization engages in research, advocacy, and public education to highlight the importance of democratic governance and to promote policies that support democracy and human rights.
A degree is a unit of measurement used to quantify temperature. There are several different scales for measuring temperature, each with its own degrees: 1. **Celsius (°C)**: The Celsius scale is based on the freezing point of water at 0 degrees and the boiling point at 100 degrees, under standard atmospheric conditions. 2. **Fahrenheit (°F)**: In the Fahrenheit scale, water freezes at 32 degrees and boils at 212 degrees.
Dehn surgery is a concept in the field of 3-manifold topology, named after the mathematician Rudolf Dehn. It is a technique used to construct new 3-manifolds from a given 3-manifold by cutting along a torus and gluing back the resulting boundary in a specific way.
Delores Conway is a professor known primarily for her work in the fields of statistics and data science, particularly in relation to the analysis of data in various applications. She has made contributions to statistical education and research, often focusing on practical applications of statistical methods.
Devolvement typically refers to the process of transferring powers, responsibilities, or decision-making authority from a central authority to a lower level of government or organization. This can occur in various contexts, such as political governance, business management, or organizational structures. In a political context, devolvement might involve a central government delegating powers to regional or local governments, allowing them to have more autonomy over certain functions, such as education, transportation, or health services.
Dexter Kozen is a prominent computer scientist known for his work in the fields of theoretical computer science, particularly in areas such as programming languages, formal methods, and algorithms. He has made significant contributions to the theory of automata, computational complexity, and the semantics of programming languages. Kozen is also known for his development of the concept of "Hoare logic" and for his work in the area of type systems, as well as for his research on formal verification and software correctness.
Diallo Sène is not widely recognized or may refer to a specific individual not covered in common sources through my last update in October 2021. It’s possible that the name could refer to a person, a brand, or a place, but without additional context, it's difficult to provide a precise answer.
Dimitrije Nešić is a name that may refer to various individuals, but there isn't a widely known public figure or topic by that exact name in popular databases or news sources as of my last training data in October 2023. If you're referring to a specific Dimitrije Nešić or context (e.g.
In topology, a **Dowker space** is a specific kind of topological space that has peculiar properties related to separability. A space \(X\) is called a Dowker space if it is a normal space (which means that any two disjoint closed sets can be separated by neighborhoods) but not every countable closed set in \(X\) can be separated from a point not in the closed set by disjoint neighborhoods.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact